Anguelov, RoumenDukuza, Njengele Kenneth KennedyLubuma, Jean M.-S.2019-05-172018-12Anguelov R, Dukuza K, Lubuma JM-S. Backward bifurcation analy-sis for two continuous and discrete epidemiological models. Mathematical Methods in the Applied Sciences. 2018;41:8784–8798.https://doi.org/10.1002/mma.5138.0170-4214 (print)1099-1476 (online)10.1002/mma.5138http://hdl.handle.net/2263/69154The bifurcation analysis of a continuous n‐dimensional nonlinear dynamical system with a nonhyperbolic equilibrium point is done by using the main theorem in the work of Castillo‐Chavez and Song. We derive an analog of this theorem for discrete dynamical systems. We design nonstandard finite difference schemes for a susceptible‐infectious‐susceptible epidemiological model with vaccination and for a malaria model. For the latter model, we sharpen the interval of the values of the disease induced death rate for which backward bifurcation may occur. Applying the discrete theorem, it is shown that each nonstandard finite difference scheme replicates the property of the continuous model of having backward bifurcation at the value one of the basic reproduction number.en© 2018 John Wiley and Sons, Ltd. This is the pre-peer reviewed version of the following article : Backward bifurcation analy-sis for two continuous and discrete epidemiological models. Mathematical Methods in the Applied Sciences. 2018;41:8784–8798.https://doi.org/10.1002/mma.5138. The definite version is available at : http://wileyonlinelibrary.com/journal/mma.Bifurcation analysisCenter manifold theoryEpidemiological modelReproductive numberPostprint Article